1127664 has 60 divisors (see below), whose sum is σ = 3249792. Its totient is φ = 364800.

The previous prime is 1127663. The next prime is 1127683. The reversal of 1127664 is 4667211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5809 + ... + 5999.

2^1127664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896).

1127664 is an abundant number, since it is smaller than the sum of its proper divisors (2122128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1127664 is a wasteful number, since it uses less digits than its factorization.

1127664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 1127664 is about 1061.9152508557. The cubic root of 1127664 is about 104.0862204131.

It can be divided in two parts, 112 and 7664, that added together give a 5-th power (7776 = 6⁵).

The spelling of 1127664 in words is "one million, one hundred twenty-seven thousand, six hundred sixty-four".